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Simplifying 5ln(3y + 45) = 5 Reorder the terms: 5ln(45 + 3y) = 5 (45 * 5ln + 3y * 5ln) = 5 (225ln + 15lny) = 5 Solving 225ln + 15lny = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -5 + 225ln + 15lny = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 225ln + 15lny = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + 45ln + 3lny) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + 45ln + 3lny)' equal to zero and attempt to solve: Simplifying -1 + 45ln + 3lny = 0 Solving -1 + 45ln + 3lny = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 45ln + 1 + 3lny = 0 + 1 Reorder the terms: -1 + 1 + 45ln + 3lny = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 45ln + 3lny = 0 + 1 45ln + 3lny = 0 + 1 Combine like terms: 0 + 1 = 1 45ln + 3lny = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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